Japheth had $420 more money than Bryan at first. After Japheth spent
34 of his money to buy a skirt and Bryan spent
15 of his money to buy a shirt, they had a total of $483 left. How much more did the skirt cost than the shirt?
| |
Japheth |
Bryan |
Comparing Japheth and
Bryan at first |
$420 more |
|
| Before |
4x5 |
$420 |
5x4 |
| Change |
- 3x5 |
- $315 |
- 1x4 |
| After |
1x5 |
$105 |
4x4 |
| |
Japheth |
Bryan |
| Before |
20 u + $420 |
20 u |
| Change |
- 15 u - $315 |
- 4 u |
| After |
5 u + $105 |
16 u |
LCM of 4 and 5 = 20
34 x 420 = 315
420 - 315 = 105
Total amount that Japheth and Bryan had in the end
= 5 u + 105 + 16 u
= 21 u + 105
21 u + 105 = 483
21 u = 483 - 105
21 u = 378
1 u = 378 ÷ 21 = 18
Amount paid more for the skirt than the shirt
= (15 u + 315) - 4 u
= 15 u - 4 u + 315
= 11 u + 315
= (11 x 18) + 315
= 198 + 315
= $513
Answer(s): $513
